Question

solve for f and graph the solution.
2f + 11 ≤ 17 or f + 7 > 12
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.
<---3---4---5---6---7---8---9---10---11--->

Explanation:

Step1: Solve \(2f + 11 \leq 17\)

Subtract 11 from both sides: \(2f \leq 17 - 11\)
\(2f \leq 6\)
Divide by 2: \(f \leq 3\)

Step2: Solve \(f + 7 > 12\)

Subtract 7 from both sides: \(f > 12 - 7\)
\(f > 5\)

Answer:

The solution is \(f \leq 3\) or \(f > 5\). For graphing, plot a closed circle at 3 (since \(f \leq 3\)) and shade left, and an open circle at 5 (since \(f > 5\)) and shade right.